A special class of first-order linear equations have the form a(t)y' (t) + a' (t)y(t) = f(t),

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A special class of first-order linear equations have the form a(t)y' (t) + a' (t)y(t) = f(t), where a and fare given functions of t. Notice that the left side of this equation can be written as the derivative of a product, so the equation has the form


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Therefore, the equation can be solved by integrating both sides with respect to t. Use this idea to solve the following initial value problems.image

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Calculus For Scientists And Engineers Early Transcendentals

ISBN: 9780321849212

1st Edition

Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran

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